Three friends go to a store to rent games and movies. Calvin rents 3 movies and 2 video games and spends a total of $25. Samantha rents 2 movies and 1 video game and spends a total of $14.75.
If the rental fee for each game is the same and the rental fee for each movie is the same, determine how much their friend, Keith, will spend at the rental store to rent 1 movie and 2 video games. Explain your answer.

Answer:

  n = 61

Step-by-step explanation:

The subscripted values of x and y in the formula refer to the coordinates of the points:

  [tex](x_1,y_1)=(-3,-2)\qquad(x_2,y_2)=(2,4)[/tex]

Substitute the given values and do the arithmetic.

__

Using these values in the formula gives ...

  [tex]d=\sqrt{n}=\sqrt{(2-(-3))^2+(4-(-2))^2}=\sqrt{5^2+6^2}=\sqrt{25+36}\\\\d=\sqrt{n}=\sqrt{61}\\\\\boxed{n=61}[/tex]

Distance

√n=√61

n=61

Answer:

The triangle will translate along the arrow and reach the head of the arrow.

Step-by-step explanation:

Translation is a category of motion in which one body moves along towards a particular direction and reaches a particular point.

In translation, the rotational motion is not present. Also, the translational motion is a one dimensional motion.

In the given figure, the triangle is present at the tail of the arrow.

The arrow depicts the direction of the translational motion.

So, the triangle will reach the end of the arrow as shown in the picture present in the attachment.

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Answer:

4.5-1.4=3.1

Step-by-step explanation:

Hope this answers your question!

If not, I am sorry.

The surface area of the triangular prism is 480 square inches and net A is the correct net of the prism

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is a name given to this novel 3D object.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have given a triangular prism with its net.

After analyzing the correct net will be net A because the inner rectangle length should be 14 in not 13 in.

The surface area of the triangular prism:

[tex]= 2[\dfrac{1}{2}(5\times12)]+ 5\times 14+ 12 \times 14+ 13\times 14[/tex]

After solving:

The surface area = 480 square inches.

Thus, the surface area of the triangular prism is 480 square inches and net A is the correct net of the prism

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The marginal frequency for the people who do not like cantaloupe is StartFraction 91 Over 200 EndFraction/

The correct option is (C),

Marginal Relative Frequency is the ratio between the frequency of a row total or column total to the total frequency of the data.

Given:

                               Watermelon      Not watermelon     Total

Cantaloupe                  93                       16                         109

Not cantaloupe           66                       25                         91

Total                             159                       41                          200

Hence, the Marginal Relative frequency is = 91/200 = 0.455

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Answer:

The answer will be 9/25.

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-2/3.

That is the slope because this equation is written in slope-intercept form (y=mx+b) where...

m= slope

b = y-intercept

Answer:

[tex]\boxed {tan\theta = \frac{2}{3}}[/tex]

Step-by-step explanation:

Let's derive a formula :

⇒ Area (triangle) × 3 = Area (square)

⇒ 1/2(bh) × 3 = a²

∴ But a = h (shown in diagram)

⇒ 3/2(bh) = h²

⇒ h = 3b/2

Now, taking tan θ :

⇒ tan θ = b/h

⇒ tan θ = b/(3b/2)

⇒ tan θ = 2b/3b

⇒ tan θ = 2/3

Answer:

3 is the smallest prime factor.

Step-by-step explanation:

ionk how to explain it but trust me its right.

Answers:

Domain:  [tex]\boldsymbol{(-\infty, \infty)}[/tex]

Range:  [tex]\boldsymbol{(-\infty, \infty)}[/tex]

=======================================================

Explanation:

domain = set of all possible x inputs

range = set of all possible y outputs

--------------

In this case, the domain is the set of all real numbers because the graph stretches forever to the left and right. There aren't any gaps, holes, jumps, etc to worry about. Any real number works as an input.

We can say x is between [tex]-\infty[/tex] and [tex]\infty[/tex] and write [tex]-\infty < x < \infty[/tex]

That turns into the interval notation [tex](-\infty, \infty)[/tex]

The curved parenthesis are always used with either infinity because we cannot reach them.

--------------

The range is the same story, but with the y values this time. The graph stretches forever upward and downward due to the arrow.

If it peaked at y = 4, then the range would be [tex](-\infty, 4][/tex], but instead the graph goes beyond y = 4 because of that upward arrow.

Answer:

y

Step-by-step explanation:

the value of y may be y or on the alphabetic order 25th

A ray is a part of a line that starts at a point (called the endpoint) and extends infinitely in one direction. An angle is formed when two rays share a common endpoint (vertex).

A ray has one endpoint: A ray is a one-dimensional figure that starts at a single point (the endpoint) and extends infinitely in one direction. On the other hand, an angle is formed by two rays, each with its own endpoint, meeting at a common vertex.

An angle is two rays: As mentioned earlier, an angle is created when two rays share a common endpoint. The two rays are referred to as the sides of the angle, and the endpoint they share is called the vertex.

The measure of an angle is determined by the amount of rotation: The measure of an angle is not dependent on the lengths of its sides but rather on the amount of rotation between its two rays. To measure an angle, we compare it to a standard unit of angle measurement, usually degrees. One full rotation (360 degrees) corresponds to a complete circle, and angles are measured based on the fraction of a full circle they represent.

The measure of an angle remains the same at all distances from its vertex: The measure of an angle is independent of the length of its sides or how far away an observer is from the vertex. For example, a 60-degree angle remains a 60-degree angle whether you look at it from up close or from a distance. This is because the measure of an angle depends only on the relative positions of its two rays, not on the size of the shape it forms.

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The median of books to a box is 9 and The mean of books to a box is 11

The complete question is

Garth is packing boxes with books. The list shows how many boxes are in each of 10 boxes. 6,14,6,18,9,9,12,10,11,15

Which statement is true about the number of boxes packed to a box?

A) The median # of books to a box is 8

B) The median # of books to a box is 9

C) The mean # of books to a box is 11

D) The mean # of books to a box is 12

Mean is the average of the data given while the median is the middle point of the data.

It is given that

The data is

6, 14, 6, 18, 9, 9, 12, 10, 11, 15

The mean is

(6 + 14 + 6 + 18 + 9 + 9 + 12 + 10 + 11 + 15)/10 = 11

and the median is 9

Therefore Option B and C is the correct answer.

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The weight of the full steel bead tire in pounds is 1.76 pounds

The weight of the lighter steel bead tire in pounds is 1.54 pounds.

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

The weight of the full steel bead tire in pounds = 800 / 453.592 = 1.76

The weight of the lighter steel bead tire in pounds = 700 / 453.592 = 1.54

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Answer:

7

Step-by-step explanation:

OK, so we're looking for the index in the fourth column and the fourth row

which is gonna be 7 if you count correctly

The product of the two functions is:

[tex](f \times g)(x) = 10x[/tex]

So the correct option is A.

Remember that the square root has the property.

[tex]\sqrt{a}*\sqrt{b} = \sqrt{a*b}[/tex]

Here we have:

[tex]f(x) = \sqrt{2x} \\\\g(x) = \sqrt{50x}[/tex]

Then the product is:

[tex](f \times g)(x) = 10x = f(x)*g(x) = \sqrt{2x}*\sqrt{50x} = \sqrt{(2x)*(50x)} \\\\(f \times g)(x) = 10x = \sqrt{100x^2} = \sqrt{100}*\sqrt{x^2} = 10*x[/tex]

the correct option is A.

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Answer:

1/2

Step-by-step explanation:

(Is this the question? In the pic above)

Sin of an angle os the side opposite over it divided by the hypotenuse.

Sin = opposite/hypotenuse

Sin = 5/10

Sin = 1/2

Answer: Choice B (If you need to do questions like this in the future i recommend using the desmos graphing calculator online, inputting the equations and comparing them)

Answer:

18.66

Step-by-step explanation:

Using the pythagorean theorem:

a^2 + b^2 = c^2

a^2 + 13^2 = 16^2

a^2 + 169 = 256

a^2 = 87

a = 9.33

Since we need to figure out length AC and not just AB, we can multiply our answer by 2:

9.33 x 2 = 18.66

Answer:

  71.32°

Step-by-step explanation:

The measure of angle ADB can be found using the trig relation ...

  Cos = Adjacent/Hypotenuse

__

  cos(ADB) = DB/AD = 13/16

Using the inverse function, ...

  ∠ADB = arccos(13/16) ≈ 35.659°

Arc AC has the same measure as angle ADC, which is double the measure of angle ADB.

  Arc AC = 2×35.659° = 71.318° ≈ 71.32°

The measure of arc AC is about 71.32°.

_____

Additional comment

The length of arc AC is the product of the radius and its radian measure:

  length AC = (16)(71.32π/180) ≈ 19.92 . . . units

Answer:

so there is no answer in choice

Step-by-step explanation:

y=mx+b

so we have m,y and x so we have to find b

-2=-7×-2+b

b=-16

so y=-7x-16

the answer should be

y+2=-7(x+2)

DE is the segment parallel to the side BC. The triangles have sides AB, BC, and CA. D, E, and F are the three sides' midpoints.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

The sides of the triangles are AB, BC, and CA.The mid points of the three sides are D, E, and F.

The new triangle sides are DE, EF, and FD. We can visualize the triangle as DEF given in the attachment.

Hence, DE is the segment parallel to side B.

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Answer: I'm 90% sure that the S inside the angle is spatial points

The full Definition of the symbol combination is approximately equal to Spatial points?

Step-by-step explanation:

I searched s inside angle symbol and these are my results. "The angle symbol is a mathematical symbol that is placed ahead of character s, usually uppercase italic letters representing spatial points, to describe a geometric angle formed by the intersection of two lines, line segments, or rays."   I'm sorry if I'm wrong.

[tex]A=\left(1+\dfrac{1}{2}\right)\cdot \left(1+\dfrac{1}{3}\right)\cdot\ldots\cdot \left(1+\dfrac{1}{2020}\right)=\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot\ldots\cdot \dfrac{2021}{2020}=\dfrac{\dfrac{2021!}{2}}{2020!}=\\\\=\dfrac{2021}{2}=1010.5[/tex]

The length and width of this rectangle are 15 cm respectively

The perimeter is given as:

Perimeter, P = 60

The greatest area is calculated as:

Greatest = (P/4)^2

Substitute 60 for P

Greatest = (60/4)^2

Evaluate the quotient

Greatest = 15^2

Evaluate the exponent

Greatest = 225 square centimeters

Hence, the greatest area is 225 square centimeters

We understand that the area is the greatest.

In such a scenario;

Length = Width

This means that:

Area =Length^2 =Width^2

So, we have:

Length^2 =Width^2 = 225

Take the square root

Length =Width = 15

Hence, the length and width of this rectangle are 15 cm respectively

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[tex]\log_3|5-2x| > 4\\\log_3|5-2x| > \log_33^4\\|5-2x| > 3^4\\|5-2x| > 81\\5-2x > 81 \vee 5-2x < -81\\2x < -76 \vee 2x > 86\\x < -38 \vee x > 43\\x\in(-\infty,-38)\cup(43,\infty)[/tex]

Answer:

(-4, 0)

Step-by-step explanation:

x-2 means ur gonna take coordinate A and move it back 2 places along the x axis, (-4,-2) and then y+2 means ur gonna go up to places alomg the y axis which brings coordinate A' to (-4,0)

Answer:

A'(-4, 0)

Step-by-step explanation:

(x, y) → (x - 2, y + 2)

A(-2,-2 )→ A'(-2-2,-2+2)

= A'(-4,0)

Unit conversion is a way of converting some common units into another without changing their real value. The approximate value in US dollars is $210.53.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The exchange rate of Mexican pesos for US dollars is approximately 19 pesos for 1 dollar. Therefore, we can write,

19 pesos = 1 dollar

1 pesos = 1/19 dollar

if Lynn exchanges 4,000 pesos for US dollars, then the approximate value in US dollars will be,

4,000 pesos = 4000/19 = 210.53 dollars

Hence,  the approximate value in US dollars is $210.53.

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Answer:

your questions is not clear but from my observations

let the number be x

x/7+25=34

x+175/7=34

x+175=238

x=238-175

×=63

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